Hi there! :)
Answer:
[tex]\huge\boxed{(-1, 3)}[/tex]
Use the midpoint formula to derive the midpoint of the segment:
[tex](x_{m} ,y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]
Substitute in the coordinates:
[tex](x_{m} ,y_{m}) = (\frac{-3+1 }{2} , \frac{4+2 }{2} )[/tex]
Simplify:
[tex](x_{m} ,y_{m}) = (-1 , 3 )[/tex]
The coordinates of the midpoint are:
[tex](-1, 3)[/tex]
WHY IS THE AU USEFUL?
Answer:
The objectives of the AU are the following: To achieve greater unity, cohesion and solidarity between the African countries and African nations. To defend the sovereignty, territorial integrity and independence of its Member States. To accelerate the political and social-economic integration of the continent.
Step-by-step explanation:
Answer:
because they help people "achieve greater unity"
Find the measure of each angle: ∠3 and ∠4 are supplementary. m∠3 = 5x + 22 and m∠4 = 7x + 2.
Answer:
∠3 = 87°∠4 = 93°Step-by-step explanation:
Since ∠3 and ∠4 are supplementary it means the the sum of their angles is equal to 180°
To find the angles add both ∠3 and ∠4 and equate it to 180° solve for x and substitute it into their various expressions
That's
∠3 + ∠4 = 180
5x + 22 + 7x + 2 = 180
12x + 24 = 180°
12x = 180 - 24
12x = 156
Divide both sides by 12
x = 13
So for ∠3
∠3 = 5x + 22
∠3 = 5(13) + 22
= 65 + 22
∠3 = 87°
For ∠4
∠4 = 7x + 2
∠4 = 7(13) + 2
= 91 + 2
∠4 = 93°
We have the answers as
∠3 = 87°∠4 = 93°Hope this helps you
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ m \: ∠ \: 3 = 87 °}}}}[/tex]
[tex] \boxed{ \bold{\boxed{ \sf{m \: ∠4 = 93 °}}}}[/tex]
Step-by-step explanation:
We know that the sum of supplementary angle adds up to 180 °
So,
[tex] \sf{5x + 22 + 7x + 2 = 180°}[/tex]
Collect like terms
⇒[tex] \sf{12x + 22 + 2 = 180°}[/tex]
Add the numbers
⇒[tex] \sf{12x + 24 = 180°}[/tex]
Move 24 to right hand side and change it's sign
⇒[tex] \sf{12x = 180 - 24}[/tex]
Subtract 24 from 180
⇒[tex] \sf{12x = 156}[/tex]
Divide both sides of the equation by 12
⇒[tex] \sf{ \frac{12x}{12} = \frac{156}{12} }[/tex]
Calculate
⇒[tex] \sf{x = 13}[/tex]
Value of x = 13
Now, substituting / Replacing the value of x
[tex] \sf{m ∠ 3 = 5x + 22}[/tex]
⇒[tex] \sf{ m \: ∠ \: 3 = 5 \times 13 + 22}[/tex]
⇒[tex] \sf{m \: ∠ \: 3 = 65 + 22}[/tex]
⇒[tex] \sf{ \: m \: ∠ \: 3 = 87}[/tex]
Again,
[tex] \sf{ \: m \: ∠ \: 4 = 7x + 2 }[/tex]
⇒[tex] \sf{m \: ∠ \: 4 = 7 \times 13 + 2}[/tex]
⇒[tex] \sf{ \: m \: ∠ \: 4 \: = 91 + 2 }[/tex]
⇒[tex] \sf{m \: ∠ \: 4 = 93 }[/tex]
m ∠ 3 = 87
m ∠ 4 = 93
Hope I helped!
Best regards!!
Amy was looking at a table of conversions from meters to kilometers. The table showed that 2 kilometers are equivalent to 2,000 meters, How can she determine how many kilometers are equivalent to 8,000 meters? Explain
Answer:
8 km
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
x 8000 km
--------- = -----------------
2 km 2000 m
Cross-multiplying, we get (2000 m)x = (8000 m)(2 km),
which reduces to x = 8 km
Answer:
Step-by-step explanation:
Since the table showed her that 2 km = 2000m.
To determine, how many km in 2000m, she would divide by 1000.
= 2000 / 1000 = 2 km.
Similarly, for 8000m = 8000 / 1000 = 8 km
PLEASE HELP!!!! THE WEBSITE ISN'T WORKING FOR ME!! Is it working for anyone else?!?!
Go to the U.S. Census Bureau's Historical National Population Estimates, 1900 to 1999 website. Write the national population of the United States for 1999 and the average annual change (growth rate given in percent) for that year.
Answer:
272,690,813 2,442,810 0.90
national population . popullation change . average annual percent change
Step-by-step explanation:
in the first quadrant you start at 3,7 and move 3 units down what is the point you end up with
Answer:
(3, 4).
Step-by-step explanation:
The x coordinate stays the same but the y coordinate becomes 7 - 3 = 4.
Please help asap!!!!!!
Answer:
the anser of this question for a is 17
Step-by-step explanation:
all sides are the same
what is 190000000000000000000999999x33
Answer:
5.7e+26
If you type in a calculator 19+19 0s + 6 9s multiplied by 3 you will get 5.7e+26.
Answer:
6.2700000 E27 (?)
Hope I helped!
Answer for this? I need to solve for X. Explanation would be helpful too. Thanks
Answer:
22
Step-by-step explanation:
2x+4+x-10=60
3x-6=60
3x=66
x=22
Answer:
[tex]\boxed{\bold{\huge{\boxed{Option \ 4: \ x = 22}}}}[/tex]
Step-by-step explanation:
If AD is a ray inside angle ABC
Then
∠ABD + ∠DBC = ∠ABC
2x + 4 + x - 10 = 60
3x - 6 = 60
Adding 6 to both sides
3x = 60 + 6
3x = 66
Dividing both sides by 3
x = 22
How many people like 2 kinds of dancing but not all 3 kinds of dancing?
Answer:
38 people
Step-by-step explanation:
add 11, 18, and 9 together
In the expression, what is the variable, the coefficient, and the constant?
25w+55
Drag the answer into the box to match each part of the expression.
Step-by-step explanation:
In expression:25w+55
variable=w
cofficient = coefficient of variable (w)=25
constant=55
In the given expression variable is "w", the coefficient is "25" and the constant is"55".
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given the expression
25w+55
Now, in general, the variable is given by an English symbol so "w" will be the variable.
The constant which in multiply of variable is called coefficient so "25" will be coefficient.
Now,
The only remaining term "55" is a constant.
Hence "In the given expression variable is "w", the coefficient is "25" and the constant is"55".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
How are you? (ignore: now for 20 more characters to meet the requirement to post this)
Answer:
lol
Step-by-step explanation:
personally... great... just mentally depressed and physically wanting to die but i guess that's great
10 times as many as 1 hundred is ---- hundreds or -------- thousand
Answer:
10 hundreds or 1 thousand
Step-by-step explanation:
1 hundred is 100. 10 * 100 = 1,000. Just count the zeros in the factors (there's 1 zero in 10 and 2 zeros in 100) and then put them all at the end of the answer to get 3 zeros, which is 1,000, or one thousand.
for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity discontinuous with a jump discontinuity discontinuous with a point discontinuity
Answer:
ITS UNDEFINED
Step-by-step explanation:
2-3)/2^2 - 4
-1/(4-4)
-1/0
ITS UNDEFINED
Answer:
[tex]\Large \boxed{\mathrm{discontinuous \ with \ a \ point \ discontinuity}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle f(x)=\frac{x-3}{x^2-4}[/tex]
When x = 2.
We can see that the denominator is equal to 0 when the input value is 2.
[tex]2^2-4=4-4=0[/tex]
Obtaining a zero in the denominator indicates a point of discontinuity.
In the graph below, we can see that the function is discontinuous at x = 2.
[tex]\rule[225]{225}{2}[/tex]
In your own words define and give an example of Associative Property
Answer:
The associative property states that you can add or multiply regardless of how the numbers are grouped.
Step-by-step explanation:
3+4+9=9+3+4=4+9+3 etc
Form the intersection for the following sets.
R={10, 15, 20}
S = {20, 25}
R ∩S=
{10,15,25}
{10,15,20,25}
{20}
{}
Answer:
Your required answer is option is {20}.
Step-by-step explanation:
Hey, there!!
The reason for above answer is we generally find intersections among the sets by extracting the common elements of the sets.
Here,
R = {10,15,20}
S = {20,25}.
Now, 20 is common im both so,
R intersection S = {20}.
Hope it helps...
What is the value of this expression when x = -6 and ? 4(x2 + 3) − 2y
Answer:
So you kinda forgot to mention the part where y = -1/2 but the answer is 157
Step-by-step explanation:
4(x^2 +3) - 2y
replace the variables
4(-6^2 +3) - 2 (-1/2)
use PEMDAS to solve
so parenthesis first and exponents
4(6x6 +3) -2 (-1/2)
4(36 +3) -2 (-1/2) (since you multiply a - by a - you get a +)
4(39) -2 (-1/2) (again - and a - is a positive)
4(39) + 1
156 + 1
157 there it is i got a 5 of 5 on my test and have a nice day :D
Find the distance between these points. C(0, 4), T(-6, -3) √(37) √(109) √(85)
Answer:
The answer is
[tex] \sqrt{85} [/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(0, 4), T(-6, -3)
The distance between them is
[tex] |CT| = \sqrt{ ({0 + 6})^{2} + ({4 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {7}^{2} } \\ = \sqrt{36 + 49} [/tex]We have the final answer as
[tex] \sqrt{85} [/tex]Hope this helps you
An international company has 29,700 employees in one country. If this represents 29.8% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer:
99, 664
Step-by-step explanation:
Let company has total x employees.
[tex]29.8 \% \: of \: x = 29700 \\ \\ 0.298x = 29700 \\ \\ x = \frac{29700}{0.298} \\ \\ x = 99,664.4295 \\ \\ x \approx \: 99,664 \: [/tex]
Answer: 99,664 employees in total
Step-by-step explanation:
So if 29.8% of the total people is 29,700 people then we could represent that by the equation.
29.8% * x = 29,700 where x is the total people.
0.298 * x = 29,700
0.298x = 29,700
x = 99,664.429
Rounded to the nearest whole number is 99,664
Christopher read 4 books in 2 months. What was his rate of reading in books per
month?
Write 1.005 as a mixed number. Then write how to read this number aloud.
Answer:
1 1/200
Step-by-step explanation:
1 1/200
one and one two-hundreth
Determine the intervals on which the function is increasing, decreasing, and constant. A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. Increasing x 0 Increasing x > 0; Decreasing x 3 Increasing x > 3; Decreasing x < 3
Answer:
increasing: x > 0
decreasing: x < 0
Step-by-step explanation:
It should be no mystery that the graph attached is decreasing where the graph is blue, and increasing where the graph is red. The turning point is the vertex.
increasing: x > 0
decreasing: x < 0
The total cost f(x), in dollars, for renting a beach house for x days is shown:
f(x) = 5 + 350x
What does f(5) represent?
Answer:
See below.
Step-by-step explanation:
So we have a function f(x) which is:
[tex]f(x)=5+350x[/tex]
And this represents the total cost (f(x)) in dollars for renting a beach house for x days.
If we use 5 for x:
[tex]f(5)=5+350(5)[/tex]
Multiply:
[tex]f(5)=5+1750=1755[/tex]
This means that the total cost to rent the beach house for 5 days is $1755.
Answer:
The cost of renting the house for 5 days
$1755 for 5 days
Step-by-step explanation:
We are given the function:
f(x) = 5+350x
f(x) represents the total cost in dollars and x represents the days.
If we want to find f(5), we must substitute 5 in for x.
f(5) = 5+350(5)
Multiply 350 and 5.
f(5)= 5+ 1750
Add 5 and 1750.
f(5)= 1755
x represents days and we substituted 5 in for x. Therefore, f(5) represents the cost of renting the beach house for 5 days. f(5) is equal to 1755.
So, It will cost $1755 to rent the beach house for 5 days.
Everytime i try to answer the questions in the same format given it shows as unexpected character.Is there anyway i can fix this so i can submit the answers i am getting on here?
Answer:
use "Help"
Step-by-step explanation:
You need to learn how your software expects to see "infinity." It may need to be spelled out "infinity" or abbreviated "inf" or "infty".
For starters, I suggest you use the "Help" link on the page you show. If that doesn't answer the question, then consult with your instructor.
when dividend is 45324 and divisor is 5, find the quotient and remainder
Answer:
45324÷5=9064
remainder=4
Hope it helps you!!
Both the galapagos Islands and the island of naura are on the equator, but the galapagos Islands are at 90.30 degree West whereas the island of naura is at 166.56 degree east. How far is it from galapagos Islands to naura travelling over the pacific ocean along the equator, correct to the nearest km
Answer:
11481.4875 km
Step-by-step explanation:
Given the that :
Galapagos island and Island of Naura are on the equator
Galapagos = 90.30°W
Island of Naura = 166.56°E
Ensuring same bearing is used for both :
Island of Naura = 166.56°E = (360° - 166.56°) = 193.44°W
Hence, we can calculate the difference in the bearing of both locations :
(193.44 - 90.30)°W = 103.14°
Hence the distance between Galapagos and Island of Naura along the equator is :
(Difference in bearing / total bearing) * earth's Circumference
Earth's Circumference = 40,075km
(103.14 / 360) × 40,075
0.2865 × 40,075
= 11481.4875 km
=
an astronaut who weighs 85 kilograms on earth weighs 14.2 kilograms on the moon. how much would a person weigh on the moon if they weigh 95 kilograms on earth? (round your answer if you have to)
Hi there! :)
Answer:
[tex]\huge\boxed{15.87kg}[/tex]
To solve, simply set up a proportion. Let "x" represent the mass of a 95 kg person on the moon:
[tex]\frac{14.2kg}{85kg} = \frac{x}{95kg}[/tex]
Cross multiply:
[tex]14.2 * 95 = 85 * x[/tex]
[tex]1349 = 85x[/tex]
Divide both sides by 85:
[tex]1349/85 = 85x/85[/tex]
[tex]x = 15.87 kg[/tex]
Answer:
15kg
Step-by-step explanation:
85/14.2=5.98
95/6=15
Add 3 + (-27) using the number line.
Select the location on the number line to plot the sum
-2
1
-1
0
1
2
1
1
2
2
12
Answer:
3/4+(-2 1/2)
Exact form -7/4
Decimal form -1.75
mixed number -1 3/4
What is true of all multiples of 6? A. All multiples of 6 have 2 and 3 as factors. B. All multiples of 6 have 12 as a factor. C. All multiples of 6 must end in 2, 3, or 6. D. A multiple of 6 cannot have 5 as a factor.
Answer:
A
Step-by-step explanation:
13. Given the function g(x) graphed here.
a. Evaluate g(-3).
b. Solve g(x) = 3.
7+
6
5+
+
2
-
Answer:
[tex]g(-3) = 2[/tex]
[tex]g(0) = 3[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine
[tex]g(-3)[/tex]
[tex]g(x) = 3[/tex]
Since a graph has been provided, the question will be solved graphically;
Solving g(-3)
This implies that;
x = -3
And the interpretation is to solve for the y value when x = -3
From the attached graph;
When x = -3; y = 2
Hence;
[tex]g(-3) = 2[/tex]
Solving g(x) = 3
This implies that;
y = 3
And the interpretation is to solve for the x value when y = 3
From the attached graph;
When y = 3; x = 0
Hence;
[tex]g(0) = 3[/tex]
Use the First Derivative Test to determine whether the critical point is a local min or max (or neither). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x)=(ln(2x)/8x)-7 (x>0)
Also determine the intervals on which the function is increasing or decreasing.
Answer:
Step-by-step explanation:
Let be [tex]f(x) = \frac{1}{8\cdot x}\cdot \ln(2\cdot x) -7[/tex], the first and second derivatives of the function are, respectively:
[tex]f'(x) = \frac{\left(\frac{2}{2\cdot x}\right)\cdot 8\cdot x-8\cdot \ln (2\cdot x) }{64\cdot x^{2}}[/tex]
[tex]f'(x) = \frac{8-8\cdot \ln (2\cdot x)}{64\cdot x^{2}}[/tex]
[tex]f'(x) = \frac{1-\ln(2\cdot x)}{8\cdot x^{2}}[/tex]
[tex]f''(x) = \frac{\left(-\frac{2}{2\cdot x} \right)\cdot (8\cdot x^{2})-[1-\ln(2\cdot x)]\cdot (16\cdot x)}{64\cdot x^{4}}[/tex]
[tex]f''(x) = \frac{-8\cdot x-16\cdot x+16\cdot x\cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]
[tex]f''(x) = \frac{-24\cdot x+16\cdot x \cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]
[tex]f''(x) = -\frac{3}{8\cdot x^{3}}+\frac{\ln (2\cdot x)}{4\cdot x^{3}}[/tex]
Now, let equalise the first derivative to zero and solve the resulting expression:
[tex]\frac{1-\ln(2\cdot x)}{8\cdot x^{2}} = 0[/tex]
[tex]1-\ln(2\cdot x) = 0[/tex]
[tex]\ln(2\cdot x) = 1[/tex]
[tex]\ln 2 +\ln x = 1[/tex]
[tex]\ln x = 1-\ln 2[/tex]
[tex]x = e^{1-\ln 2}[/tex]
[tex]x = \frac{e}{e^{\ln 2}}[/tex]
[tex]x = \frac{e}{2}[/tex]
[tex]x \approx 1.359[/tex]
This result is evaluated at the second derivative expression:
[tex]f''(1.359) =-\frac{3}{8\cdot (1.359)^{3}}+\frac{\ln [2\cdot (1.359)]}{4\cdot (1.359)^{3}}[/tex]
[tex]f''(1.359)\approx -0.050[/tex]
The critical value leads to a critical maximum and there are two intervals:
[tex](0, 1.359)[/tex] - Increasing
[tex](1.359,+\infty )[/tex] - Decreasing
The graphic of the function is presented below as attachment.